Geometric Analysis of an Integrated Pest Management Model Including Two State Impulses
Joint Authors
Liu, Yulin
Zhao, Wencai
Meng, Xinzhu
Zhang, Tongqian
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-19
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
According to integrated pest management strategies, we construct and investigate the dynamics of a Holling-Tanner predator-prey system with state dependent impulsive effects by releasing natural enemies and spraying pesticide at different thresholds.
Applying the Dulacs criterion, the global stability of the positive equilibrium in the system without impulsive effect is discussed.
By using impulsive differential equation geometry theory and the method of successor functions, we prove the existence of periodic solution of the system with state dependent impulsive effects.
Furthermore, the stability conditions of periodic solutions are obtained.
Some simulations are exerted to illustrate the feasibility of our main results.
American Psychological Association (APA)
Zhao, Wencai& Liu, Yulin& Zhang, Tongqian& Meng, Xinzhu. 2014. Geometric Analysis of an Integrated Pest Management Model Including Two State Impulses. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1015159
Modern Language Association (MLA)
Zhao, Wencai…[et al.]. Geometric Analysis of an Integrated Pest Management Model Including Two State Impulses. Abstract and Applied Analysis No. 2014 (2014), pp.1-18.
https://search.emarefa.net/detail/BIM-1015159
American Medical Association (AMA)
Zhao, Wencai& Liu, Yulin& Zhang, Tongqian& Meng, Xinzhu. Geometric Analysis of an Integrated Pest Management Model Including Two State Impulses. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-18.
https://search.emarefa.net/detail/BIM-1015159
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015159